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The "golden" non-Euclidean geometry ...
~
Stakhov, A. P.
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The "golden" non-Euclidean geometry = Hilbert's fourth problem, "golden" dynamical systems, and the fine-structure constant /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
The "golden" non-Euclidean geometry/ Alexey Stakhov, Samuil Aranson ; assisted by Scott Olsen.
其他題名:
Hilbert's fourth problem, "golden" dynamical systems, and the fine-structure constant /
其他題名:
Non-Euclidean geometry
作者:
Stakhov, A. P.
其他作者:
Aranson, S. Kh.
出版者:
Singapore :World Scientific Publishing, : c2017.,
面頁冊數:
1 online resource (307 p.) :ill. (some col.), ports.
標題:
Geometry, Non-Euclidean. -
電子資源:
http://www.worldscientific.com/worldscibooks/10.1142/9603#t=toc
ISBN:
9789814678308
The "golden" non-Euclidean geometry = Hilbert's fourth problem, "golden" dynamical systems, and the fine-structure constant /
Stakhov, A. P.
The "golden" non-Euclidean geometry
Hilbert's fourth problem, "golden" dynamical systems, and the fine-structure constant /[electronic resource] :Non-Euclidean geometryAlexey Stakhov, Samuil Aranson ; assisted by Scott Olsen. - 1st ed. - Singapore :World Scientific Publishing,c2017. - 1 online resource (307 p.) :ill. (some col.), ports. - Series on analysis, applications, and computation ;v. 7. - Series on analysis, applications, and computation ;v. 7..
Includes bibliographical references and index.
"This unique book overturns our ideas about non-Euclidean geometry and the fine-structure constant, and attempts to solve long-standing mathematical problems. It describes a general theory of "recursive" hyperbolic functions based on the "Mathematics of Harmony," and the "golden," "silver," and other "metallic" proportions. Then, these theories are used to derive an original solution to Hilbert's Fourth Problem for hyperbolic and spherical geometries. On this journey, the book describes the "golden" qualitative theory of dynamical systems based on "metallic" proportions. Finally, it presents a solution to a Millennium Problem by developing the Fibonacci special theory of relativity as an original physical-mathematical solution for the fine-structure constant. It is intended for a wide audience who are interested in the history of mathematics, non-Euclidean geometry, Hilbert's mathematical problems, dynamical systems, and Millennium Problems."--
Electronic reproduction.
Singapore :
World Scientific,
[2016]
ISBN: 9789814678308
LCCN: 2016011605Subjects--Topical Terms:
532611
Geometry, Non-Euclidean.
LC Class. No.: QA685 / .S794 2017
Dewey Class. No.: 516.9
The "golden" non-Euclidean geometry = Hilbert's fourth problem, "golden" dynamical systems, and the fine-structure constant /
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"This unique book overturns our ideas about non-Euclidean geometry and the fine-structure constant, and attempts to solve long-standing mathematical problems. It describes a general theory of "recursive" hyperbolic functions based on the "Mathematics of Harmony," and the "golden," "silver," and other "metallic" proportions. Then, these theories are used to derive an original solution to Hilbert's Fourth Problem for hyperbolic and spherical geometries. On this journey, the book describes the "golden" qualitative theory of dynamical systems based on "metallic" proportions. Finally, it presents a solution to a Millennium Problem by developing the Fibonacci special theory of relativity as an original physical-mathematical solution for the fine-structure constant. It is intended for a wide audience who are interested in the history of mathematics, non-Euclidean geometry, Hilbert's mathematical problems, dynamical systems, and Millennium Problems."--
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http://www.worldscientific.com/worldscibooks/10.1142/9603#t=toc
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